52367241700800 has 3360 divisors, whose sum is σ = 230691926646720. Its totient is φ = 11526694502400.

The previous prime is 52367241700721. The next prime is 52367241700843. The reversal of 52367241700800 is 800714276325.

52367241700800 is a `hidden beast` number, since 523 + 6 + 7 + 2 + 41 + 7 + 0 + 0 + 80 + 0 = 666.

52367241700800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 55650628330 + ... + 55650629270.

It is an arithmetic number, because the mean of its divisors is an integer number (68658311502).

Almost surely, 2^{52367241700800} is an apocalyptic number.

52367241700800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52367241700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115345963323360).

52367241700800 is an abundant number, since it is smaller than the sum of its proper divisors (178324684945920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52367241700800 is a wasteful number, since it uses less digits than its factorization.

52367241700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 52367241700800 in words is "fifty-two trillion, three hundred sixty-seven billion, two hundred forty-one million, seven hundred thousand, eight hundred".